4 problems

Near-minimal local-minima conjecture. For large numbers of particles, there are many local minima of $V$ with energies very close to the lower bound.

Consider the Ruijsenaars–Schneider system with $2N$ particles and the subspace in which the particles form pairs whose within-pair distance is $\eta$. The flow preserving this conf…

Saturation conjecture. Interacting particle cases that exhibit the characteristics of classical random matrices for short correlation lengths will also show saturation effects for…

Let a multicomponent few-body system consist of particles interacting through two-body interactions, and consider its spectrum in the weak-interaction limit, where two-body matrix…